Highest Common Factor of 4910, 3129, 74801 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4910, 3129, 74801 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4910, 3129, 74801 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 4910, 3129, 74801 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 4910, 3129, 74801 is 1.

HCF(4910, 3129, 74801) = 1

HCF of 4910, 3129, 74801 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 4910, 3129, 74801 is 1.

Highest Common Factor of 4910,3129,74801 using Euclid's algorithm

Highest Common Factor of 4910,3129,74801 is 1

Step 1: Since 4910 > 3129, we apply the division lemma to 4910 and 3129, to get

4910 = 3129 x 1 + 1781

Step 2: Since the reminder 3129 ≠ 0, we apply division lemma to 1781 and 3129, to get

3129 = 1781 x 1 + 1348

Step 3: We consider the new divisor 1781 and the new remainder 1348, and apply the division lemma to get

1781 = 1348 x 1 + 433

We consider the new divisor 1348 and the new remainder 433,and apply the division lemma to get

1348 = 433 x 3 + 49

We consider the new divisor 433 and the new remainder 49,and apply the division lemma to get

433 = 49 x 8 + 41

We consider the new divisor 49 and the new remainder 41,and apply the division lemma to get

49 = 41 x 1 + 8

We consider the new divisor 41 and the new remainder 8,and apply the division lemma to get

41 = 8 x 5 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4910 and 3129 is 1

Notice that 1 = HCF(8,1) = HCF(41,8) = HCF(49,41) = HCF(433,49) = HCF(1348,433) = HCF(1781,1348) = HCF(3129,1781) = HCF(4910,3129) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 74801 > 1, we apply the division lemma to 74801 and 1, to get

74801 = 1 x 74801 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74801 is 1

Notice that 1 = HCF(74801,1) .

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Frequently Asked Questions on HCF of 4910, 3129, 74801 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 4910, 3129, 74801?

Answer: HCF of 4910, 3129, 74801 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4910, 3129, 74801 using Euclid's Algorithm?

Answer: For arbitrary numbers 4910, 3129, 74801 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.